Let's divide 205566 by 19
We're looking to find how many times 19 goes into 205566.

Advancing to step 1:
When dividing 2 by 19, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 19

Step 2:
If we divide 20 by 19, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 1 after subtracting 19 from 20.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 19

Advancing to step 3:
19 can be fit into 15 0 times, resulting in a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 15 to get 15.
Append the next digit (5) from the dividend to 15 and continue with: 155 / 19

Let's proceed to step 4:
If we divide 155 by 19, we get 8 and a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 108.0
Subtract 152 from 155 to get 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 19

Step 5:
19 can be fit into 36 1 times, resulting in a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 1081.0
Deduct 19 from 36 and we're left with 17.
Take the next digit (6) from the dividend and append it to 17, then repeat: 176 / 19

On to step 6:
176 divided by 19 is 9 with a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 10819.0
If we subtract 171 from 176, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
19 can be fit into 50 2 times, resulting in a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 10819.2
If we take 38 away from 50, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
19 goes into 120 6 times with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 10819.26
Deduct 114 from 120 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
When dividing 60 by 19, we get 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 10819.263
If we take 57 away from 60, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 10:
The number 19 fits into 30 1 times, leaving a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 10819.2631
Subtracting 19 from 30 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 11:
The number 19 fits into 110 5 times, leaving a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 10819.26315
The remainder is 15 after subtracting 95 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 12:
The number 19 fits into 150 7 times, leaving a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 10819.263157
Deduct 133 from 150 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 13:
19 can be fit into 170 8 times, resulting in a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 10819.2631578
The remainder is 18 after subtracting 152 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 14:
19 can be fit into 180 9 times, resulting in a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 10819.26315789
If we take 171 away from 180, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

After the division, we end up with 10819.26315789 and a remainder of 9e-09.